Pith Number

pith:EQTTBEHR

pith:2009:EQTTBEHRBGDQF32SLB6AOLFDHU

not attested not anchored not stored refs pending

A View on Optimal Transport from Noncommutative Geometry

Francesco D'Andrea, Pierre Martinetti

arxiv:0906.1267 v2 · 2009-06-06 · math.OA · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQTTBEHRBGDQF32SLB6AOLFDHU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:24:55.533070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24273090f1098702ef52587c072ca33d10a9da837980125d72c611c476c4963a

Aliases

arxiv: 0906.1267 · arxiv_version: 0906.1267v2 · doi: 10.48550/arxiv.0906.1267 · pith_short_12: EQTTBEHRBGDQ · pith_short_16: EQTTBEHRBGDQF32S · pith_short_8: EQTTBEHR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EQTTBEHRBGDQF32SLB6AOLFDHU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 24273090f1098702ef52587c072ca33d10a9da837980125d72c611c476c4963a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a090005e734d916da26edf5dbea7187d7603814b63cad687505d5da77d235475",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-06-06T12:11:03Z",
    "title_canon_sha256": "69abf6ae5ca41437698800f92b1b6a305e387bdfe487a28c742dff2e15799005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1267",
    "kind": "arxiv",
    "version": 2
  }
}